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Finding the Fourth Proportional to 3,404.92, 5,109 and 1,761.16

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Solution

The fourth proportional to 3,404.92, 5,109 and 1,761.16 is: 2,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.92 : 5,109 = 1,761.16 : x
  2. Step 2: Convert to fraction form
    3,404.92/5,109 = 1,761.16/x
  3. Step 3: Cross multiply
    3,404.92x = 5,109 × 1,761.16
  4. Step 4: Simplify right side
    3,404.92x = 8,997,766.44
  5. Step 5: Solve for x
    x = 8,997,766.44/3,404.92
  6. Step 6: Final answer
    x = 2,642.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.